Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Rheology of dense vibrated granular flows: Nonmonotonic response controlled by granular temperature

A. Plati1,*, G. Petrillo2, L. de Arcangelis3, A. Gnoli4,5,6, A. Puglisi4,5,6,†, A. Sarracino7, and E. Lippiello3

  • *Contact author: andrea.plati@universite-paris-saclay.fr
  • Contact author: andrea.puglisi@cnr.it

Phys. Rev. Research 8, L032010 – Published 21 July, 2026

DOI: https://doi.org/10.1103/nzmt-b7bf

Abstract

We study the rheology of dense granular materials subjected to vertical vibration by using numerical simulations of a stress-imposed vane rheometer. The effective viscosity increases with confining pressure, decreases with vibration amplitude, and exhibits a nonmonotonic dependence on frequency: Weakening is observed at intermediate frequencies but is lost at high frequencies. We show that the rheological response is governed by the balance between grain-scale agitation energy and the stabilizing effect of confinement. This framework reconciles previously observed trends in viscosity and friction weakening and emphasizes the central role of energy injection and dissipation in determining granular flow properties under vibration.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (35)

  1. B. Andreotti, Y. Forterre, and O. Pouliquen, Granular Media: Between Fluid and Solid (Cambridge University Press, Cambridge, UK, 2013).
  2. A. Puglisi, Transport and Fluctuations in Granular Fluids: From Boltzmann Equation to Hydrodynamics, Diffusion and Motor Effects (Springer, Berlin, 2014).
  3. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Granular solids, liquids, and gases, Rev. Mod. Phys. 68, 1259 (1996).
  4. P. Eshuis, K. van der Weele, D. van der Meer, R. Bos, and D. Lohse, Phase diagram of vertically shaken granular matter, Phys. Fluids 19, 123301 (2007).
  5. R. A. Bagnold, Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear, Proc. R. Soc. London A 225, 49 (1954).
  6. P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature (London) 441, 727 (2006).
  7. Y. Forterre and O. Pouliquen, Flows of dense granular media, Annu. Rev. Fluid Mech. 40, 1 (2008).
  8. F. Da Cruz, S. Emam, M. Prochnow, J.-N. Roux, and F. Chevoir, Rheophysics of dense granular materials: Discrete simulation of plane shear flows, Phys. Rev. E 72, 021309 (2005).
  9. M. Bouzid, M. Trulsson, P. Claudin, E. Clément, and B. Andreotti, Nonlocal rheology of granular flows across yield conditions, Phys. Rev. Lett. 111, 238301 (2013).
  10. A. Fall, G. Ovarlez, D. Hautemayou, C. Mézière, J.-N. Roux, and F. Chevoir, Dry granular flows: Rheological measurements of the μ(I)-rheology, J. Rheol. 59, 1065 (2015).
  11. S. Deboeuf and A. Fall, Cohesion and aggregates in unsaturated wet granular flows down a rough incline, J. Rheol. 67, 909 (2023).
  12. H. Melosh, Dynamical weakening of faults by acoustic fluidization, Nature (London) 379, 601 (1996).
  13. J. A. Dijksman, G. H. Wortel, L. T. Van Dellen, O. Dauchot, and M. Van Hecke, Jamming, yielding, and rheology of weakly vibrated granular media, Phys. Rev. Lett. 107, 108303 (2011).
  14. C. Hanotin, S. Kiesgen de Richter, P. Marchal, L. J. Michot, and C. Baravian, Vibration-induced liquefaction of granular suspensions, Phys. Rev. Lett. 108, 198301 (2012).
  15. G. H. Wortel, J. A. Dijksman, and M. Van Hecke, Rheology of weakly vibrated granular media, Phys. Rev. E 89, 012202 (2014).
  16. F. Giacco, L. Saggese, L. de Arcangelis, E. Lippiello, and M. P. Ciamarra, Dynamic weakening by acoustic fluidization during stick-slip motion, Phys. Rev. Lett. 115, 128001 (2015).
  17. A. Gnoli, A. Lasanta, A. Sarracino, and A. Puglisi, Unified rheology of vibro-fluidized dry granular media: From slow dense flows to fast gas-like regimes, Sci. Rep. 6, 38604 (2016).
  18. A. Gnoli, L. De Arcangelis, F. Giacco, E. Lippiello, M. P. Ciamarra, A. Puglisi, and A. Sarracino, Controlled viscosity in dense granular materials, Phys. Rev. Lett. 120, 138001 (2018).
  19. J. Léopoldès, X. Jia, A. Tourin, and A. Mangeney, Triggering granular avalanches with ultrasound, Phys. Rev. E 102, 042901 (2020).
  20. A. Plati, L. de Arcangelis, A. Gnoli, E. Lippiello, A. Puglisi, and A. Sarracino, Getting hotter by heating less: How driven granular materials dissipate energy in excess, Phys. Rev. Res. 3, 013011 (2021).
  21. A. H. Clark, E. E. Brodsky, H. J. Nasrin, and S. E. Taylor, Frictional weakening of vibrated granular flows, Phys. Rev. Lett. 130, 118201 (2023).
  22. M. G. Irmer, E. E. Brodsky, and A. H. Clark, Granular temperature controls local rheology of vibrated granular flows, Phys. Rev. Lett. 134, 048202 (2025).
  23. O. D’Angelo, M. Sperl, and W. T. Kranz, Rheological regimes in agitated granular media under shear, Phys. Rev. Lett. 134, 148202 (2025).
  24. M. García-Rodríguez and J. Malpica, Assessment of earthquake-triggered landslide susceptibility in El Salvador based on an artificial neural network model, Nat. Hazards Earth Syst. Sci. 10, 1307 (2010).
  25. C. Wang, M. Moharekpour, Q. Liu, Z. Zhang, P. Liu, and M. Oeser, Investigation on asphalt-screed interaction during pre-compaction: Improving paving effect via numerical simulation, Constr. Build. Mater. 289, 123164 (2021).
  26. F. Da Cruz, F. Chevoir, D. Bonn, and P. Coussot, Viscosity bifurcation in granular materials, foams, and emulsions, Phys. Rev. E 66, 051305 (2002).
  27. A. Plati, A. Baldassarri, A. Gnoli, G. Gradenigo, and A. Puglisi, Dynamical collective memory in fluidized granular materials, Phys. Rev. Lett. 123, 038002 (2019).
  28. P. A. Cundall and O. D. L. Strack, A discrete numerical model for granular assemblies, Géotechnique 29, 47 (1979).
  29. S. Plimpton, Fast parallel algorithms for short-range molecular dynamics, J. Comput. Phys. 117, 1 (1995).
  30. A. P. Thompson, H. M. Aktulga, R. Berger, D. S. Bolintineanu, W. M. Brown, P. S. Crozier, P. J. in ’t Veld, A. Kohlmeyer, S. G. Moore, T. D. Nguyen, R. Shan, M. J. Stevens, J. Tranchida, C. Trott, and S. J. Plimpton, LAMMPS—A flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales, Comput. Phys. Commun. 271, 108171 (2022).
  31. https://docs.lammps.org/pair_granular.html.
  32. H. P. Zhang and H. A. Makse, Jamming transition in emulsions and granular materials, Phys. Rev. E 72, 011301 (2005).
  33. P. G. Debenedetti and F. H. Stillinger, Supercooled liquids and the glass transition, Nature (London) 410, 259 (2001).
  34. A. Plati, Script and Data for “Rheology of dense vibrated granular flows: Nonmonotonic response controlled by granular temperature”, Zenodo (2026), doi: https://zenodo.org/records/18805723.
  35. I. I. Blekhman, Vibrational Mechanics: Nonlinear Dynamic Effects, General Approach, Applications (World Scientific, Singapore, 2000).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation